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Finding the Third Proportional to 134,578 and 283,100

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Solution

The third proportional to 134,578 and 283,100 is: 595,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,578 : 283,100 = 283,100 : x
  2. Step 2: Convert to fraction form
    134,578/283,100 = 283,100/x
  3. Step 3: Cross multiply
    134,578x = 283,100 × 283,100
  4. Step 4: Simplify right side
    134,578x = 80,145,610,000
  5. Step 5: Solve for x
    x = 80,145,610,000/134,578
  6. Step 6: Final answer
    x = 595,532.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.